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Prog. Theor. Phys. Vol. 85 No. 1 (1991) pp. 157-168
Quaternion Gauge Theory of Dyonic Fields
P. S. Bisht,
O. P. S. Negi and
B. S. Rajput*
Department of Physics, Kumaun University Campus, Almora-263 601
*Department of Physics, Kumaun University Campus, Nainital-263002
(Received January 16, 1990)
Abstract:
Outlining the idea of quaternion non-Abelian gauge formalism and that of the structural symmetry between generalized fields of dyons and gravito-dyons, it is shown that this formulation characterizes the Abelian and non-Abelian structure of dyons in terms of pure real and imaginary unit quaternions. Extending this formalism to the case of gravito-dyons it has been shown that pure imaginary unit quaternions advocate the curvature in the theory of gravito-dyons and hence the SL(2, c) gauge group of gravitation plays the same role as that of SU(2) gauge group does in non-Abelian gauge theory. Furthermore, we have unified the theories of electromagnetism and gravitation in terms of single parameter α by means of quaternion-gauge formalism and the corresponding field equations have also been derived in a unique and consistent way.
URL :
http://ptp.ipap.jp/link?PTP/85/157/
DOI : 10.1143/PTP.85.157
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